Answer:
y = [tex]\frac{1}{5}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{1}{5}[/tex], hence
y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
To find c substitute (- 10, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = [tex]\frac{1}{5}[/tex] x + 8